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C. Cave Painting

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputImp is watching a documentary about cave painting.

Some numbers, carved in chaotic order, immediately attracted his attention. Imp rapidly proposed a guess that they are the remainders of division of a number *n* by all integers *i* from 1 to *k*. Unfortunately, there are too many integers to analyze for Imp.

Imp wants you to check whether all these remainders are distinct. Formally, he wants to check, if all , 1 ≤ *i* ≤ *k*, are distinct, i. e. there is no such pair (*i*, *j*) that:

- 1 ≤
*i*<*j*≤*k*, - , where is the remainder of division
*x*by*y*.

Input

The only line contains two integers *n*, *k* (1 ≤ *n*, *k* ≤ 10^{18}).

Output

Print "Yes", if all the remainders are distinct, and "No" otherwise.

You can print each letter in arbitrary case (lower or upper).

Examples

Input

4 4

Output

No

Input

5 3

Output

Yes

Note

In the first sample remainders modulo 1 and 4 coincide.

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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